GCD of 152, 280, 756, 918 Calculator

Given Input numbers are 152, 280, 756, 918

In the factoring method, we have to find the divisors of all numbers

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (152, 280, 756, 918) = 2.

Given numbers are 152, 280, 756, 918

The list of prime factors of all numbers are

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 152, 280, 756, 918 is 2.

Given numbers are 152, 280, 756, 918

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(152, 280) = 5320

GCD(152, 280) = ( 152 x 280 ) / 5320

= 152 / 280

= 152

Step2:

LCM(8, 756) = 1512

GCD(8, 756) = ( 8 x 756 ) / 1512

= 8 / 756

= 8

Step3:

LCM(4, 918) = 1836

GCD(4, 918) = ( 4 x 918 ) / 1836

= 4 / 918

= 4

So, Greatest Common Divisor of 152, 280, 756, 918 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 212, 443, 562
• GCD of 455, 228, 936, 828
• GCD of 906, 250, 714, 446
• GCD of 640, 282, 587, 337
• GCD of 988, 620, 381, 787

Given numbers are 152, 280, 756, 918
The greatest common divisor of numbers 152, 280, 756, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 280, 756, 918 is 2.

1. What is the GCD of 152, 280, 756, 918?

GCD of given numbers 152, 280, 756, 918 is 2

2. How to calculate the greatest common divisor of 152, 280, 756, 918?

We can find the highest common divisor of 152, 280, 756, 918 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 152, 280, 756, 918 i.e 2.

3. How can I use the GCD of 152, 280, 756, 918Calculator?

Out the numbers 152, 280, 756, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.